Atiyah Singer Index Theorem

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In the mathematics of manifolds and differential operators, the Atiyah Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other important theorems (such as the Riemann Roch theorem) as special cases, and has applications in theoretical physics. It was proved by Michael Atiyah and Isadore Singer in 1963.

Klappentext

In the mathematics of manifolds and differential operators, the Atiyah-Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other important theorems (such as the Riemann-Roch theorem) as special cases, and has applications in theoretical physics. It was proved by Michael Atiyah and Isadore Singer in 1963.

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Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130629526
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130629526
    • Format Fachbuch
    • ISBN 978-613-0-62952-6
    • Titel Atiyah Singer Index Theorem
    • Untertitel Mathematics, Manifold, Differential operator, Elliptic operator, Closed manifold, Riemann-Roch theorem, Theoretical physics, Michael Atiyah, Isadore Singer, Pseudo- differential operator
    • Gewicht 159g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 96
    • Genre Mathematik

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